211313100 has 72 divisors (see below), whose sum is σ = 619838800. Its totient is φ = 55572480.

The previous prime is 211313083. The next prime is 211313101. The reversal of 211313100 is 1313112.

It is a super-2 number, since 2×211313100² = 89306452463220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211313101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17076 + ... + 26724.

Almost surely, 2^211313100 is an apocalyptic number.

211313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309919400).

211313100 is an abundant number, since it is smaller than the sum of its proper divisors (408525700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211313100 is a wasteful number, since it uses less digits than its factorization.

211313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9739 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 211313100 is about 14536.6123976668. The cubic root of 211313100 is about 595.6285051839.

Adding to 211313100 its sum of digits (12), we get a palindrome (211313112).

Adding to 211313100 its reverse (1313112), we get a palindrome (212626212).

The spelling of 211313100 in words is "two hundred eleven million, three hundred thirteen thousand, one hundred".